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Find the area of the shaded sections (image included)
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Since the angle of either of the two gray areas is 60 degrees (180-120 = 60), the gray areas placed side by side equal 120 degrees, or 1/3 of the whole 360 degrees. In otherwords, it's 1/3 of the circle's area. Solve for the circle's area with a radius of 4 and then divide by 3.
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